Preheat the oven to 350 degrees F and lightly spray a 9x13 inch baking dish with cooking spray. Stir together Worcestershire sauce, mustard, garlic powder, salt and pepper in a small bowl, set aside.

In a large (cast iron skillet) heat oil and add sliced onions and green peppers. Cook, stirring occasionally over medium heat until peppers are soft and onions have caramelized slightly. Move to the side of the pan or if pan too small, remove to a plate.

Increase heat to medium-high heat adding shaved steak, using tongs, and tossing the shaved steak working quickly to prevent the shaved steak from clumping. Cook until the steak is slightly pink, but mostly browned. Pour in Worcestershire sauce, mustard, garlic powder, salt and pepper that you mixed earlier, stirring to coat the shaved steak.

Stir the onions and peppers back into the beef, then remove from heat.

Slice rolls in half horizontally while keeping the rolls together, set aside the tops. Place bottom of rolls in prepared baking dish and spread the the meat and onion mixture evenly over the top.

Top with overlapping slices of provolone cheese, the return the top of the buns to the sandwiches.

In a small bowl mix together melted butter, Worcestershire, mustard, brown sugar, garlic powder, onion powder and thyme.

Pour the mixture slowly over the top of the rolls, using a brush to get between the rolls and on the sides.

Cover with foil and place sliders in the oven and bake for 25 minutes, remove foil and bake additional 7-10 minutes until cheese is melted and sliders are golden. Serve immediately.